Given numbers are 696,224,642,772,560

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 696,224,642,772,560 is 2012233440.

Find LCM of 696,224,642,772,560 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 2 x 2 x 3 x 7 x 29 x 2 x 107 x 193 x 5 = 2012233440

Therefore, the lowest common multiple of 696,224,642,772,560 is 2012233440.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

696 x 224 x 642 x 772 x 560 = 43271067893760

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

642 : 1, 2, 3, 6, 107, 214, 321, 642

772 : 1, 2, 4, 193, 386, 772

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 696,224,642,772,560, is 2.

Now, the common factors can be found like this.

696:2x 2x 2x 3x 29

224:2x 2x 2x 2x 2x 7

642:2x 3x 107

772:2x 2x 193

560:2x 2x 2x 2x 5x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 2x 2x 2x 2x 2x 3x 7 = 10752

Therefore, the value for common factors is 10752.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 43271067893760/(2x10752)

LCM = 43271067893760/21504

LCM = 2012233440

Thus, we can understand that the LCM of 696,224,642,772,560 is 2012233440.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 308, 895, 195, 660, 280
• LCM of 175, 496, 357, 876, 822
• LCM of 132, 859, 771, 597, 651
• LCM of 112, 632, 149, 468, 402
• LCM of 215, 470, 479, 714, 543

1. What is the LCM of 696, 224, 642, 772, 560?

Answer: LCM of 696, 224, 642, 772, 560 is 2012233440.

2. How to calculate the LCM of 696, 224, 642, 772, 560?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 696, 224, 642, 772, 560.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.